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Finding the Fourth Proportional to 30,029.04, 41,440.07 and 16,417.13

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Solution

The fourth proportional to 30,029.04, 41,440.07 and 16,417.13 is: 22,655.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,029.04 : 41,440.07 = 16,417.13 : x
  2. Step 2: Convert to fraction form
    30,029.04/41,440.07 = 16,417.13/x
  3. Step 3: Cross multiply
    30,029.04x = 41,440.07 × 16,417.13
  4. Step 4: Simplify right side
    30,029.04x = 680,327,161.04
  5. Step 5: Solve for x
    x = 680,327,161.04/30,029.04
  6. Step 6: Final answer
    x = 22,655.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.